Line level is the standard signal strength at which most audio equipment is designed to operate. Lower-level microphone and instrument signals must be brought up to line level with a preamp before interfacing with most equipment.
Simply stated, these both refer to the voltage level of an audio signal. Wired and wireless microphones are typically connected to mic-level inputs, whereas most other audio devices use line level. (We'll get to instrument- and speaker-level signals in a minute.)